Treatise on Natural Philosophy, Part 1University Press, 1886 - Calculators |
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Page v
... curvature and tortuosity of curves , the curvature of surfaces , distortions or strains , and various other purely geometrical subjects . b2 1744 . The Laws of Motion , the Law of Gravitation and.
... curvature and tortuosity of curves , the curvature of surfaces , distortions or strains , and various other purely geometrical subjects . b2 1744 . The Laws of Motion , the Law of Gravitation and.
Page ix
... Curvature of a Plane Curve 5 , 6 Curvature and Tortuosity of a Tortuous Curve 7-9 Integral Curvature of a Curve ( compare § 136 ) Flexible Line - Cord in Mechanism 10-13 14-16 Evolute and Involute 17-19 • Velocity 20-24 Resolution of ...
... Curvature of a Plane Curve 5 , 6 Curvature and Tortuosity of a Tortuous Curve 7-9 Integral Curvature of a Curve ( compare § 136 ) Flexible Line - Cord in Mechanism 10-13 14-16 Evolute and Involute 17-19 • Velocity 20-24 Resolution of ...
Page x
... Curvature of Surface - Synclastic and Anticlastic Surfaces- Meunier's Theorem - Euler's Theorem - Definition of Line of Curvature - Shortest Line between two points on a Surface -- Spherical Excess Area of Spherical Polygon - Reciprocal ...
... Curvature of Surface - Synclastic and Anticlastic Surfaces- Meunier's Theorem - Euler's Theorem - Definition of Line of Curvature - Shortest Line between two points on a Surface -- Spherical Excess Area of Spherical Polygon - Reciprocal ...
Page 1
... curvature of lines and surfaces . point . 3. When a point moves from one position to another it must Motion of a evidently describe a continuous line , which may be curved or straight , or even made up of portions of curved and straight ...
... curvature of lines and surfaces . point . 3. When a point moves from one position to another it must Motion of a evidently describe a continuous line , which may be curved or straight , or even made up of portions of curved and straight ...
Page 2
... Curvature of a plane curve . 4. The direction of motion of a moving point is at each instant the tangent drawn to its path , if the path be a curve , or the path itself if a straight line . 5. If the path be not straight the direction ...
... Curvature of a plane curve . 4. The direction of motion of a moving point is at each instant the tangent drawn to its path , if the path be a curve , or the path itself if a straight line . 5. If the path be not straight the direction ...
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Common terms and phrases
acceleration action altered angular velocity anticlastic application B₁ Cambridge centre of inertia change of direction circle co-ordinates coefficients component condition configuration constant corresponding curvature curve cycloidal cylinder degrees of freedom Demy 8vo denote diagram differential equation direction cosines distance dt dt dx dy dy dy dy dz ellipse ellipsoid elongation equal equations of motion equilibrium expression finite fixed fluid force function geodetic geometrical given gyrostatic Hence infinitely small initial integral kinetic energy Laplace's equation length moving P₁ parallel parallelepiped particle perpendicular polygon position principal axes quantity radius ratio rectangular right angles rigid body rolling roots rotation round shear simple harmonic simple harmonic motions simple shear solution spherical harmonic spherical surface strain suppose synclastic tangent plane theorem tion twist values whole x₁ y₁ αξ λ² аф